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New Integral Operator for Analytic Functions
Published 2024-01-01“…For fz∈Apn, new integral operators O−jfz and Ojfzj=0,1,2,⋯. are considered. …”
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On General Integral Operator of Analytic Functions
Published 2013-01-01“…Let be the integral operator defined by , where each of the functions and is, respectively, analytic functions and functions with positive real part defined in the open unit disk for all . …”
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Hölder’s inequality for shifted quantum integral operator
Published 2025-06-01“…We show by two counterexamples that Hölder’s inequality for shifted quantum integral operator does not hold in general and we prove the case in which it is valid.…”
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On Univalence Criteria for a General Integral Operator
Published 2012-01-01“…We consider a new general integral operator, and we give sufficient conditions for the univalence of this integral operator in the open unit disk of the complex plane. …”
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Embedding of Besov Spaces and the Volterra Integral Operator
Published 2021-01-01“…Meanwhile, the boundedness, compactness, and essential norm of the Volterra integral operator Tg from Besov spaces to a class of general function spaces are also investigated.…”
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Certain integral operator and strongly starlike functions
Published 2002-01-01“…By making use of an integral operator defined by Jung et al. (1993), we introduce two novel families of strongly starlike functions Sβα(ρ,γ) and Cβα(ρ,γ). …”
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The Univalence Conditions of Some Integral Operators
Published 2012-01-01“…We introduce new integral operators of analytic functions f and g defined in the open unit disk U. …”
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Properties of Univalence for a New General Integral Operator Defined as a Joint Extension of Two Known Integral Operators
Published 2023-01-01“…In this paper, we consider a new general integral operator, defined as a joint extension of two already known integral operators, and prove some univalence properties for this operator. …”
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Starlikeness Properties of a New Integral Operator for Meromorphic Functions
Published 2011-01-01“…We define here an integral operator ℋ𝛾1,…,𝛾𝑛 for meromorphic functions in the punctured open unit disk. …”
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Bernardi Integral Operator and Its Application to the Fourth Hankel Determinant
Published 2022-01-01“…In this paper, making use of the Bernardi integral operator, we define a new class of starlike functions associated with the sine functions. …”
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On Ostrowski Type Inequalities for Generalized Integral Operators
Published 2022-01-01“…In this paper, we show some new results related to Ostrowski type inequalities for generalized integral operators.…”
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On weighted inequalities for certain fractional integral operators
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Generalized Fractional Integral Operators and M-Series
Published 2016-01-01“…Two fractional integral operators associated with Fox H-function due to Saxena and Kumbhat are applied to M-series, which is an extension of both Mittag-Leffler function and generalized hypergeometric function pFq. …”
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Denoising Algorithm Based on Generalized Fractional Integral Operator with Two Parameters
Published 2012-01-01“…In this paper, a novel digital image denoising algorithm called generalized fractional integral filter is introduced based on the generalized Srivastava-Owa fractional integral operator. The structures of n×n fractional masks of this algorithm are constructed. …”
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The Boundedness of Commutators of Singular Integral Operators with Besov Functions
Published 2010-01-01“…In this paper, we prove the boundedness of commutator generated by singular integral operator and Besov function from some Ld to Triebel-Lizorkin spaces.…”
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Fractional integral operators on Herz spaces for supercritical indices
Published 2011-01-01“…We consider the boundedness of fractional integral operators Iβ on Herz spaces Kqα,p(Rn), where q≥n/β. …”
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Kudriasov Type Univalence Criteria for Some Integral Operators
Published 2013-01-01“…We consider some integral operators defined by analytic functions in the open unit disk and derive new univalence criteria for these operators, using Kudriasov condition for a function to be univalent.…”
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Majorization for Certain Classes of Analytic Functions Defined by Fournier–Ruscheweyh Integral Operator
Published 2022-01-01“…In this paper, we introduce three new classes SkaM,N;μ,Rkaμ, and Tkaθ of analytic functions defined by Fournier–Ruscheweyh integral operator. For these classes, we investigate the majorization problem. …”
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A Third-Order Differential Equation and Starlikeness of a Double Integral Operator
Published 2011-01-01“…These functions f are given by a double integral operator of the form f(z)=∫01∫01G(ztμsν)t-μs-νds dt with G' subordinated to h. …”
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